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Instructor: Prof. David Jerison
This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
Note: the review for the exam in lecture 7 is not comprehensive because the students already have practice exams available to them. There is no lecture 8 video because the exam was given during this session.
View the complete course at: http://ocw.mit.edu/1801F06
License: Creative Commons BYNCSA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
This movie is part of the collection: MIT OpenCourseWare
Producer: MIT OpenCourseWare
Audio/Visual: sound, color
Language: English
Keywords: differentiation; integration; functions; single variable; limits; continuity; differentiation rules; extremum problems; definite; indefinite; fundamental theorem of calculus; elementary; techniques of integration; approximation of definite integrals; improper integrals; l'Hôpital's rule
Creative Commons license: AttributionNoncommercialShare Alike 3.0
Movie Files  MPEG4  Ogg Video 

Lecture 01: Derivatives, slope, velocity, rate of change 
112.0 MB

212.6 MB

Lecture 02: Limits, continuity; Trigonometric limits 
114.9 MB

212.5 MB

Lecture 03: Derivatives of products, quotients, sine, cosine 
108.5 MB

199.1 MB

Lecture 04: Chain rule; Higher derivatives 
100.4 MB

158.4 MB

Lecture 05: Implicit differentiation, inverses 
106.8 MB

196.1 MB

Lecture 06: Exponential and log; Logarithmic differentiation; hyperbolic functions 
104.4 MB

186.9 MB

Lecture 07: Hyperbolic functions and exam 1 review 
111.1 MB

195.2 MB

Lecture 09: Linear and quadratic approximations 
101.4 MB

190.6 MB

Lecture 10: Curve sketching 
112.3 MB

215.1 MB

Lecture 11: Maxmin problems 
108.9 MB

176.2 MB

Lecture 12: Related rates 
108.3 MB

207.4 MB

Lecture 13: Newton's method and other applications 
116.1 MB

221.0 MB

Lecture 14: Mean value theorem; Inequalities 
108.1 MB

205.4 MB

Lecture 15: Differentials, antiderivatives 
106.4 MB

201.0 MB

Lecture 16: Differential equations, separation of variables 
98.8 MB

187.7 MB

Lecture 18: Definite integrals 
102.7 MB

195.1 MB

Lecture 19: First fundamental theorem of calculus 
104.8 MB

200.8 MB

Lecture 20: Second fundamental theorem 
107.7 MB

204.2 MB

Lecture 21: Applications to logarithms and geometry 
109.5 MB

206.0 MB

Lecture 22: Volumes by disks and shells 
108.6 MB

206.0 MB

Lecture 23: Work, average value, probability 
105.7 MB

200.9 MB

Lecture 24: Numerical integration 
109.8 MB

209.5 MB

Lecture 25: Exam 3 review 
107.5 MB

199.6 MB

Lecture 27: Trigonometric integrals and substitution 
101.7 MB

192.3 MB

Lecture 28: Integration by inverse substitution; completing the square 
105.4 MB

200.0 MB

Lecture 29: Partial fractions 
105.7 MB

201.7 MB

Lecture 30: Integration by parts, reduction formulae 
111.8 MB

211.8 MB

Lecture 31: Parametric equations, arclength, surface area 
98.7 MB

188.8 MB

Lecture 32: Polar coordinates; area in polar coordinates 
107.3 MB

205.0 MB

Lecture 33: Exam 4 review 
106.9 MB

199.0 MB

Lecture 35: Indeterminate forms  L'Hôspital's rule 
105.9 MB

198.2 MB

Lecture 36: Improper integrals 
107.7 MB

200.5 MB

Lecture 37: Infinite series and convergence tests 
109.2 MB

209.2 MB

Lecture 38: Taylor's series 
103.4 MB

194.2 MB

Lecture 39: Final review 
85.4 MB

156.8 MB

Image Files  Thumbnail  Animated GIF 

Lecture 01: Derivatives, slope, velocity, rate of change 
4.0 KB

410.4 KB

Lecture 02: Limits, continuity; Trigonometric limits 
4.3 KB

410.9 KB

Lecture 03: Derivatives of products, quotients, sine, cosine 
4.6 KB

416.7 KB

Lecture 04: Chain rule; Higher derivatives 
4.7 KB

410.6 KB

Lecture 05: Implicit differentiation, inverses 
5.3 KB

425.0 KB

Lecture 06: Exponential and log; Logarithmic differentiation; hyperbolic functions 
6.0 KB

403.5 KB

Lecture 07: Hyperbolic functions and exam 1 review 
4.7 KB

402.7 KB

Lecture 09: Linear and quadratic approximations 
6.2 KB

403.1 KB

Lecture 10: Curve sketching 
4.1 KB

434.3 KB

Lecture 11: Maxmin problems 
4.8 KB

410.0 KB

Lecture 12: Related rates 
5.0 KB

426.9 KB

Lecture 13: Newton's method and other applications 
6.4 KB

409.9 KB

Lecture 14: Mean value theorem; Inequalities 
4.8 KB

408.5 KB

Lecture 15: Differentials, antiderivatives 
4.5 KB

406.1 KB

Lecture 16: Differential equations, separation of variables 
4.9 KB

407.4 KB

Lecture 18: Definite integrals 
6.4 KB

432.1 KB

Lecture 19: First fundamental theorem of calculus 
5.8 KB

415.5 KB

Lecture 20: Second fundamental theorem 
6.3 KB

420.2 KB

Lecture 21: Applications to logarithms and geometry 
5.9 KB

404.5 KB

Lecture 22: Volumes by disks and shells 
5.3 KB

395.6 KB

Lecture 23: Work, average value, probability 
4.7 KB

399.9 KB

Lecture 24: Numerical integration 
5.5 KB

417.0 KB

Lecture 25: Exam 3 review 
4.6 KB

410.5 KB

Lecture 27: Trigonometric integrals and substitution 
5.2 KB

399.9 KB

Lecture 28: Integration by inverse substitution; completing the square 
5.5 KB

404.0 KB

Lecture 29: Partial fractions 
5.0 KB

405.0 KB

Lecture 30: Integration by parts, reduction formulae 
5.1 KB

417.1 KB

Lecture 31: Parametric equations, arclength, surface area 
4.8 KB

406.1 KB

Lecture 32: Polar coordinates; area in polar coordinates 
4.6 KB

412.7 KB

Lecture 33: Exam 4 review 
5.0 KB

410.5 KB

Lecture 35: Indeterminate forms  L'Hôspital's rule 
6.3 KB

407.5 KB

Lecture 36: Improper integrals 
4.7 KB

417.6 KB

Lecture 37: Infinite series and convergence tests 
4.8 KB

439.1 KB

Lecture 38: Taylor's series 
4.7 KB

419.6 KB

Lecture 39: Final review 
5.1 KB

374.2 KB

Information  Format  Size 

MIT18.01JF07_files.xml  Metadata  [file] 
MIT18.01JF07_meta.xml  Metadata  1.7 KB 
MIT18.01JF07_reviews.xml  Metadata  4.2 KB 
Other Files  Archive BitTorrent 

MIT18.01JF07_archive.torrent 
80.0 KB

Reviewer:
malonph 
Subject:
Subtitles
Inside OCW pages you can see videos which have subtitles.
Is there any way I can download videos and see them with subtitles?
The problem is that my english is not really good and I can't understand some words, so subtitles help me a lot.
Thank you.
Also a lot of thanks to the MIT for making those great videos, you can actually enjoy learning with them.
Reviewer:
AskJer™ 
Subject:
FULL OPEN COURSE & DOWNLOAD HELP
MIT OpenCourseWare  Complete course including homework, lecture notes, and teacher assistant extras, and exams with solutions provided at this link ...
http://ocw.mit.edu/courses/mathematics/1801singlevariablecalculusfall2006/index.htm
TO DOWNLOAD VIDEO LECTURES FROM THIS SITE
[http://archive.org/details/MIT18.01JF07/]:
RightClick on video links, then select "Save target as" or "Save link as"
Reviewer:
theoddel 
Subject:
@kubz and question regarding homework
> @kubz you can rightclick in the highlighted with blue size area whether MPEG4 or Ogg format an click "save link as"
> Also does anybody know if there is any homework assignments for each lecture available? That would be great!
Reviewer:
kubz 
Subject:
How to download the video files?
How do I download the video files so that I can play them offline? When I click on the link for any of them, the video just starts playing, but there seems to be no way to download them.
Reviewer:
Pdpinch 
Subject:
Lecture 8 was an exam
Thanks for the stars!
As noted in the collection description at the top of the page, Lecture 8 was an exam and wasn't recorded.
Reviewer:
kitoy 
Subject:
Missing file?
Where is Lecture 8?
Reviewer:
Todd Carnes 
Subject:
@Liam
Considering that the files have been downloaded over 140,000, I'd say it is pretty safe to say the problem's on your end and NOT at the internet archive.
Reviewer:
liam.beistle@ttu.edu 
Subject:
Great Value
I see great value here but my Win 7(64) has failed for two weeks to allow me to download the files completely. I have used IE9, Chrome, FireFox. The file downloads suspend, end, or complete with less than full file. I even logged in as a member and the problem persists. I am now looking at the archive as the problem not the implementation. I am hoping to find an ftp location to try Filezilla. And to download via a Fedora OS. For now, I have to rate this as no rating until it can be down loaded. I have Norton and have turned it both on and off. No joy here.